This is a first year course in single-variable calculus, the second of the four courses in the calculus sequence. It is primarily intended for science, pre-engineering and mathematics majors, covering integral calculus and its applications.
Mathematics without calculus is limited to situations where important parts of the problem are either static or change in very restricted ways. However, with the development of the calculus integral, we can describe quantities that are continually changing. We can also find lengths, areas, and volumes of irregular shapes.
The material for this course will come from chapters 4-7 of the book. We will develop the following topics: integrals, inverse and transcendental functions, techniques of integration and applications of these topics.
In developing the tools to help accomplish this we will build on the mathematical skills from Calculus I; for some of you this may involve some review as well as new material.
This course meets Liberal Arts Objective 4a) of the college General Education requirements:
When presented with an analytical problem, students will choose an appropriate model with which to solve the problem, use quantitative techniques to arrive at a solution, and interpret their solution in writing.
In addition, at the end of the course, students should be able to meet the following learning objectives (these are only a selection of the objectives for the course). Students should be able to:
Describe integrals in terms of areas
Describe integrals in terms of antiderivatives
Evaluate basic integrals
State and interpret the Fundamental Theorem of Calculus
Evaluate integrals using basic substitutions
Identify which functions have inverses
Use the natural logarithms and exponential functions
Use inverse trigonometric functions
Use l'Hopital's Rule
Evaluate basic integrals using integration by parts
Evaluate basic integrals using trigonometric substitutions
Use partial fractions
Evaluate basic improper integrals
Set up and solve integrals using the disk and washer methods
Instructor
My name is Henry Suters and I have been teaching at Carson-Newman since 1994. I have a Ph.D. in Mathematics from Duke University and an M.S. in Computer Science from the University of Tennessee. I am married and have three children (triplets, almost 11 years old, two girls and a boy).
Welcome to Calculus IIMATH 152Objectives
This is a first year course in single-variable calculus, the second of the four courses in the calculus sequence. It is primarily intended for science, pre-engineering and mathematics majors, covering integral calculus and its applications.Mathematics without calculus is limited to situations where important parts of the problem are either static or change in very restricted ways. However, with the development of the calculus integral, we can describe quantities that are continually changing. We can also find lengths, areas, and volumes of irregular shapes.
The material for this course will come from chapters 4-7 of the book. We will develop the following topics: integrals, inverse and transcendental functions, techniques of integration and applications of these topics.
In developing the tools to help accomplish this we will build on the mathematical skills from Calculus I; for some of you this may involve some review as well as new material.
This course meets Liberal Arts Objective 4a) of the college General Education requirements:
In addition, at the end of the course, students should be able to meet the following learning objectives (these are only a selection of the objectives for the course). Students should be able to:
Instructor
My name is Henry Suters and I have been teaching at Carson-Newman since 1994. I have a Ph.D. in Mathematics from Duke University and an M.S. in Computer Science from the University of Tennessee. I am married and have three children (triplets, almost 11 years old, two girls and a boy).